Q. 14.6 Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?

(a)  a=0.7x

(b) a=-200x^2

(c) a=-10x

(d) a=100x^3        

Answers (1)
S Sayak

Only the relation given in (c) represents simple harmonic motion as the acceleration is proportional in magnitude to the displacement from the midpoint and its direction is opposite to that of the displacement from the mean position.